{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SVM支持向量机\n",
    "\n",
    "此教程分为两个部分: \n",
    "\n",
    "    第一个部分旨在使用可视化的方式让同学们理解SVM的工作原理, SVM分割线, SVM的支持向量. 并且使用实例证明SVM的分割线只由支持向量唯一确定, 与线性回归/逻辑回归不一样, SVM对异常数据具有较强的鲁棒性.\n",
    "\n",
    "第二个部分展示了如何使用支持向量机实现人脸的分类识别. 对输入的人脸图像, 使用PCA(主成分分析)将图像(看作一维向量)进行了降维处理, 然后将降维后的向量作为支持向量机的输入. PCA降维的目的可以看作是特征提取, 将图像里面真正对分类有决定性影响的数据提取出来.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 一. 理解SVM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "# use seaborn plotting defaults\n",
    "import seaborn as sns; sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 创建模拟数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1c71f7b8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "X, y = make_blobs(n_samples=50, centers=2,\n",
    "                  random_state=0, cluster_std=0.60)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 可以有多种方法分类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rf2zT+QXJhRD0OKDZsQ3N/vC9VGSXC1PRrBhHFFlSHn0Qy2MPodm7B0lR0Bw5Qspfnidt6oQWGYbyoYPHHaen3bAuEuG2jeOkSoLaxPGmMXy8lEarXF0ukQsvqIcQ9DggVVWFKiLDHq9OrI+ATaKqaDZuQLv6Z+RtWzHNndNwRel2oVvxPbrvv23+adPSIHCcgSWN5I/HEvfV14EpzOQogEAA3+lntu0CPj80smUpqepxs3AE7Y8NG9YxZ06YBnPNRAh6HPD3sdZr/VoXVaPBd9bZMY6o9ei++JysvH5kjLmY9GuuIOuC4Y2adZLTGdyiaCZqWjre4eeEbaylGo24b7ip1XFHCvf1U6BzZ1Sdvt7tqsmM47dPNC72zcR7/oWgDd9YTEmx4L10dJvOL4g/iqLw9ddfcdNNU5k8+VqWLn2v1ecSgh4PUlJw3nwbaph+JOj1R9PhEhztqpWkz5iM5tDBYL+W6upgEU4jb1aSqrY4M8P+13+gZmWj1JmfqpjN+Pv1D9u3JeZYLPDTT7gnTkI1mVEBf+8+VP3zP7gjMFAlMHAQ3vMuaDA/VjUYCPTujfeCi9t8DUF88Hq9LFnyNtdcczm//vVt7Nu3l3vvfZDCwkWtPmezK0WtVuvzQK7NZruh1VcThHA++jhSIIBp1itIej1KIICamkb1S68S6Nc/3uE1C/NzT4c1BBvbNVZSUvBeNrZF11C6dqPsu5UY5xVi+OA9dKkp2K+eiGf8NaDXN32CWJCVhf2Fv2N/4e+gKBHvvV/13yJSnn4CY+EspJo3RPdV12J/8lnR578dUlVVyZtvLmLhwnmUlByhb99+PPXUc1xyyWh0Oh2y3HrfpVlpi1ar9SJgEbC0BYLeA5G22CRSdRU5+7ZT7pOCLVnbaKJFiua8TtmndEVuZL//2LJ/1WDAP2AgFR990SYRSrTfH8QwJq8XubwMJT0DjMdvcHxCv04tIJYx7d+/j/nzi3jnnbdwuZyceeZwpk+/iTPPHI5U5/99W9IWm1yhW63WLOAp4GlANIGOMGpqGpx7Lv4E+0NvFkYTNGbgajQoJlPQtNNocE+YhP3xJ8WKsi3o9SgdO8U7CkEL2bhxPUVFs/jss0+QJIlRo8YwdeoMrNZ+Eb9Wc7ZcXgYeBbq35gI17zQJRW5uarxDaEC7jOnGGfC3vzWsbpUkpGHDkJYvh6oqsFgw6XS0zR5sQVyxQlFCvVsSJqY6iJiaRzRiUlWVL774gv/85z989913pKamcsstt3DjjTfSpUuXiF+vluMKutVqvRnYa7PZllmt1htacwGx5dI07TUmaeavyHjjTeSDB5Br+quoOh2q0UjF838nUOYEtFDhBiLTfyUhXiuXi5Q/PYmxaBaS242Ulob91jtx3XXfccfjxZKEeJ2O4USIyev18uGH7zN37hy2b99Kx46duPfeBxk//lpSU4NvHE1dr86WS4tpaoU+AehstVrXAFmAxWq1/tVms93TqqsJkgo1LZ2KZd9gnP1fjAvnIXk8eC4djevOu1C6dot3eNFBVUmfMB7dmlVItU3Cyssxv/gCWttmql9u30VhgtZRVVXJW2+9zsKFczly5Ah9+1prjM5R6HSxM++PK+g2m21k7fc1K/TzhZgL6qJaUnH93z24/i9x/izkQwcxvvJvDMs+RU1JwT3lBtzXTIhIVozum/+hXVd8VMxrr+lyYfjoA5xbbPVnoAqSmgMH9jN/fhGLF78ZMjr/8Ic/NTA6Y4UYcCFIKjSbNpIx9hIkjztURanZuAHjvEIq3lna5qZn+o+WIjkaGSodUNB//ikuIehJz6ZNGygsfC1kdF566WVMm3ZjVIzOltBsQbfZbHOAOVGLRCCIAKl3zESqrqqXMik7nbBhHabC13DdckfbLiBJwa9w6b4S0IYc4qijKGiLVyNVVeEfPAQ1q+khH4KjqKrKt99+Q1HRLH788QdSUlKYPHkakyZNo1OnzvEODxArdEESIe/dg3b71rCFTbLLhXF22wXdO/YKjAvmIjnDrNJlGe8lo9p0/mih++E7Um+dgVRVDbKM5PXgnjgZ+zN/huP0FRKAz+flww8/oKhoNtu3b6VDh47cffcDXH31dSGjM1EQv0lB0iBVBoddS41k1EhVlW2+hu+ss/Gffga6H75Hch+tklVNZtzjrybQq3ebrxFpNDu2kTbxqgZtiA1vLARZxv7sX+IUWWJTVVXF22+/zoIFczly5Bf69OnLH//4J0aNuiymRmdLEIIuSBoCvU4JlcYfiyrL+Nva+RBAkqic9wbmF1/A9N+XkcrLkDp3xn7HXbhn3tb280cB0z9fDNuVUXa5MC6Yh+Phx1AjMLQ7WTh48ADz5xeyePGbOJ1OzjhjOE888RRnnTUiLkZnSxCCLogI8oH9EAigdOsev/YFZjPOmbdhfvU/SK5jhmIYDDjvfSAy19HrcT7wMM4HHgZFIbdjOu4Ey6+ui+675Y139zTo0W7cgG/4iBhHlXhs3ryRwsJZfPrpRwAho7NfO+mtBELQBW1E9+03WB64G83evSBJKFlZ2J96Fu+YK+ISj/OR3yF5PZjmvBZsaasqYDBS/c//BHvlRJp20MpATc9o/KA/gJKWHrtgEoy6RueKFd9jNpuZNGkqkyZNo3Pn6FV0Rgsh6IJWo121kvRJ1yDV6bioObCftNtnUvWqLj69umUZxx+ewXnfb9CuWY1qNuMfelrCVHDGA9eMm9HYNoUd5afm5BAYOCgOUcUXn8/LRx8tZcGCQjZv3kxubgfuuut+rr76OtLS4j84pbUIQRe0mpQnnwjfPtftIuV3DwczPuK0/aKmZ+A774K4XDvR8FwzAePbb6D9aUVI1FWdDlWvp+rlWQnT4TMWBI3ON1iwoIgjR36hf//+CW90tgQh6IJWo/vx+0Z7n2v27UWqrBBmWyKg1VK58G0M77wVHDhdWYH33PNx3Xonykknxzu6mHDw4AEWLAhWdDocDs444yyeeOIprrhiNCUl9niHFzGEoJ8IeDzofv4pOONy6GmQkhKR06paXeMzLVUVVauLyHUEEUCrxXPtRDzXTox3JDFl8+aNFBXN5pNPPgRg5MhRTJ9+I/37DwRI+KyVliIEPckxLJyP5dEHa6ZNSEh+P477H8L1q7va/FHbc/mVGN96vUGqoAr4hp0RHM8mSDo069dhfGsRUlUV3vMvxDt6LOgS581bVVW+/345hYVHjc7rr5/C5MnT26XR2RKEoCcx+s8/IfWhe+uZlgApf/4TakYG7qk3tOn8zocfw/D5J1BZGUqLUzUaVJMpWIEoSC5UFcvD92NcOA88HiRFwfDO26h/fJzypZ+jdugQ1/B8Pi8ff/whRUWz2Lp1C7m5udx1131cffWEdm10toTEz7kStBrz039sIOYAksuJ+bmnwvcjaQFKl66Uf/kd7inTUbKzUTIy8Yy7morPvyYwYGCbzi1IPPQfvIth0XwklwtJUQCQHXbk/ftIu+PmuMVVXV3NnDmvMWbMSB577CEUReWJJ57mww+XMWPGzBNGzEGs0JMa7eaNjR6Ty8qRKspRM7PadA2lU2fsz/0V+3N/bdN5BImP+aW/h019lPx+dCu+Rz58KKYj8g4dOsiCBUW8/fYbOBwOTj/9TB5//EmGD0/8is5oIQQ9iVHNZqSqqsaOoprMMY1H0L6R9+9v9JiqNyAfPBATQbfZNlNUNItPPvkQVVW55JLRTJs2I2R0nsgIQU9i3BMmBdPUjslEUTUavBdd0uTkeIGgLoHefdAcOhj2mOT1EOgevRTIoNH5LUVFs/jhh+8wm81MmDCZyZOn0aVL16hdt70hBD2JcT74CPpln6E5eCC0l64YjZCahv1PwrQUtAznXfeh+3llgz45qsGA55LRqNmR76/u8/n45JOg0blliy2pjc5ffjlMcfFqKirKuOOOW1t1DiHoSYyankH5suUYF87D+MYCJL8f95VX4Z42o81754ITD995F+B48GFS/vQkqiwj+fyg1+EfOBj7i/+K6LXsdjuLF7/B/PlFHD58iFNO6cMTTzzN6NFj0UdglGC88fv9bNu2hTVrVlNcHPw6cCC4pdW7dx8h6IJGSEnBffOtuG9u3R+IQFAX15134b5mIoYP30dyOPCdeRb+U4dFrH3A4cOHamZ0voHdbmfYsDN47LE/cPbZ57Rro7Oqqop164pD4r1uXTHOGoM5NzeXvLyhXH/9VPLzCxg4sPVegBB0gUDQItSOHXHPiGyaos22mblzZ/Pxx0tRVZWRIy9l2rQbGTCg/TUOU1WVvXv3sGbNqpCAb9++DVVVkWWZvn37MXbsOPLzC8jLK6BLl6713qzkNowxFIIuEAjigqqq/PDDdxQVzeL777/FZDJz3XWTmDx5Gl27dot3eM3G4/GwceOGegJeXl4GQGpqGkOG5HPppZeRl1fAoEGDMZsj03ojHELQT2QcDkwv/wvT3DlIDju+YWfgvP8h/AWnxjsyQRLj8/n49NOPKCycxZYtm8nJyeX//u8err12ImntoDd7SckRiotXhwR848aN+P0+AE466WTOOec88vKCq+9evU5BjmHPfCHoJyouFxljRqLdsQ3JHZzBqf/8U/TLv6bqtSK4/po4ByhINqqrqykqmhUyOnv1OoXf//4pLrvs8oQ1OgOBANu2ba0n4Pv37wNAr9czcOBgpkyZTn7+UIYMyScrK77JBkLQT1CM84vQ7tweEnMASVXB5SL113fAhKviGJ0gmTh8+HBN69o3qK6u5rTTTufRR3/PiBHnxnT12hyqq6tD5uWaNatZv74Yh8MBQE5OLvn5BUycOIX8/AL69eufcD3UhaCfoBgXzA3b5wUIDq1YtQpOtsY2KEFSsWWLjaKiWXz88VIURWHMmDFMnDiNgQMHxzs0ILiHv2vXLr78cnloBb5t29aQedmnj5UxY64kL6+A/PyG5mUi0ixBt1qtfwCuBRTgNZvN9pfmXuCqq8bi8XjIysomOzun5is79G9WVjY5OblkZ2djEqXoMUNyNyLmALIUdhKRQNAUqqqyYsX3FBXN4rvvlmM0mrj22utrtiX6cySOw7Rrzcta47K4eDVlZaUAWCwWBg/O4+KLLyUvr4DBg4eQktL+2j83KehWq/U84CJgMKADNlqt1qU2m83WnAuMHn0Z27Ztp7S0hN27d7F69UrKy8vD3tdkMpOTk9Oo+Ne9TYh/2/COvBTNnt1hB1RIfj8MHQpOJQ6RCdojPp+Pzz77mMLCWdhsm8jOzuFXv7qba6+dSPrxhlRHkVrzsnb1Xde87N79ZIYPH8GIEWfRu/cAevY8BU0SzJ1tUtBtNtv/rFbr+TabzW+1WrvWPMbR3AvMnHkHilK/TavP56O8vIyyslJKSkooLS2hrKyU0tISSkqC3+/evYtVq36ioqIi7HnNZjPZ2UL8W4vrtl9hnF8EPl9w77wG1WTGeeevSUlJAWf8VlOC9oHDYWfx4jeZP7+IQ4cO0qvXKTz++JNcdtnlGAyGmMVR17ysFfC65uWAAYOYPHkaeXn55OUVkJ2dA0BubmpcPzVEmmZtudhsNp/Van0CuB94E2i87Voz0Ol0dOjQkQ4dOjZ530iIf92Vf5cunbBYMk548Vc6d6Fi6eek/vp2tBvXo2q1oNHgvOs+XL+6m+hlygqSgcOHD7Nw4Vzeeut17PZqTj11GI888jtGjDgvJkan3W5n7do19Sova83L7Owc8vMLmDBhEnl5BfTvPzBhs2gijaS2YMiB1Wo1A+8Dr9tstleauHsPYGfrQ2s5Pp+P0tJSjhw50uhXSUkJR44caXTbx2w206FDB3JycsjNzT3ul8lkiuXTix6HDkFVFfTsmVCjxASJx6ZNm3j55ZdZsmQJgUCAMWPGcNttt5Gfnx+1a6qqyu7du1m5cmXoa/PmzaiqiiRJ9O/fn9NOOy30ddJJJyW8edlMegK7WvKAJgXdarX2A4w2m21Nzc93Av1tNtuvmjh3D2Bnaam9wZZLPKn9iOXz+SgrK6OsrOSYlX8ppaVHav4tpayspIkyeEgqAAAgAElEQVRtn9yaVX52ve+zsnLIyckJbQsdT/wT8WNfIsYEiRlXssekqio//vgDhYWvhYzO8eOvZsqUG1pU0dncmLxeL5s21VZeBlfhpaUlAKSkpDBkSHDbZMiQfIYMycfShtm1ifi7k2WJ7GwLtELQm7Pl0gt4wmq1jiA4//dKYFYLY0w4dDodHTt2pGPH5m37NCX+O3fu5Oefm9rzDyf42fTs2R2t1kxOTm6T4i8QxIpao7OoaDabN28kOzuHO++8m+uui6zRWVpaQnHxmjqVl+vx+YLmZbdu3TnrrLNDqYO9evVOCvMyWjTHFP3QarWeAawGAsDbNpttUdQjSyDiI/51jd7cBnv9zVn5CwStIWh0vsWCBUUcPHiAnj178bvf/ZExY65os9EZCATYsWNbqHCnuHg1e/fuAYL/zwYMGMSkSdNqSufzQ+aloHk01xR9HHg8yrEkBa0Rf1V1sW3bHkpKjoQV/5Urf6SysjLsOVJSUsjKygm77VP3jUCIv6ApfvnlMAsXzuPNNxfVGJ2n8dBDv+Wcc85vtdHpcNhZt24txcWr2bRpHStXrsRutwNB8zIvr4BrrplAfv7QE8q8jBaiUjSO1Ip/bm4qnTr1OO59fT4vZWVllJaW1Ah+SSjzp6yspMXiH8z6CfdGEBR/SI38ExYkJNu2baGoaDYffvgBihLgoosuYdq0Gxk8eEiLzqOqKgcO7K83tGHrVhuKoiBJEv369WP06LHk5w8lL6+Arl27JYt5mTAIQW8n6HR6OnbsRMdmDOENJ/6139duBe3YsZ0ff1xBVVV48bdYLGRmZocR/2Nz/nMwitmk7Q5VVfnppxUUFs7i22+/xmg0cc011zFlyg1069a9Wefwer1s3ryxXuXlkSNHgODiYfDgPGbOvL2m8jKPXr26JJwBmWwIQU9CIiH+TmcV+/YdpLS0afGvXfnXmry139cWfdX9Xoh/fPH7/TVG5yw2bdpIVlY2d955N9deO4GMjMzjPrbWvKwV740b1+OtqTTu1q07w4adGVp99+7dR5iXcUAI+glOY+IfLp2rVvxLSo7UrPbrF3jViv9PP61odNvHYrHUqe5tKP5i5R8dHA4777zzNvPnF3Lw4AF69OjJY4/9gbFjrwxrdDZlXvbvP5CJEyeH0gdzczvE+ikJwiAEXdBsWrvyryv4dT8FNGflX3eLJysrh5NO6oLRmCpW/s3kyJFfWLhwLm+++TrV1VUMHRre6KxrXhYXr2bt2jUh8zIzM4v8/KFcffUE8vLyGTBgUEzL+gXNRwi6ICq0VPyPCn1pjdl7pN7327dva3LPv7ZzZ1Dk635ff+V/IojRli1bePHFf7J06XsEAgEuvHAk06ffyODBeU2al7179+HSSy8LbZ907540lZdJjxB0QdzR6fR06tSZTp06N3nftDQ9W7bsDmv41n6/fftWfvzxhxNO/FVVZeXKHyksnMXy5f/DaDRy1VXXMmHCZBwOO2vWrKKw8LV65qXZbGbw4Hxuvvk28vMLGDQoj7S0tDg/E0FrEYIuaFcYDIZmi7/X662z1VMS9lNAJMS/b98egDFu4u/3+/n8808oKprFxo0bSE/PYNy4cZhMFjZv3sTEieND5mXXrt0YNuzMUOFO79590WqFDCQL4jcpSFr0+uav/OuL/7GpnkfFf8WK76murgp7jmPFv24vn2NTPyMh/k6ng8WL32LOnP9SUnKkJtsom7KyUpYsWYJWq6N//wFMmDApNPNSmJfJjRB0gYCWi3/dvH6Px86uXftDBV6lpUfYtm1LE+KfGibHP3xzt7rVk06ng+XLv2bRovkUF68mEAjUeQ6GUOOqCy4YQefOPdvVlpGg7QhBFwhaiF6vp3PnLnTu3AU4fsc+j8cTaudQK/h1q3tLS0vYutXGDz+UNir+RqMRnU6Hz+fDXWeot15vYMCAgZx11gjOOOMsBg0aEhLwROwiKIg+QtAFgihiMBjqif/xcDjs/PjjClau/JH169eyffs27PZq3G53PSHXarX4/X68Xg/r1q1l3bq1vPLKS8DRlX/nzp1ITc3g2Orexlb+guRACLpAECfKyspCU3eCMy/X4/F4AOjSpSu9e/fh0KGDHDp0kIyMTK6/fgrXXTeJzMzMBts+x678q6rKm1z5Wyyp9ap7m7vtI0hchKALBDFAURR27Nher+/J7t27AELm5TXXTKR//wHs37+Pd99dzJo1qzj55B789rdPMHbslfWKp47d9jmWulsudbd9jg5vqd/fZ8uWzZSWlmK3h9+mOd6ef+1ttYVeQvzjhxB0gSAKOJ0O1q9fFyqdX7t2TWilnJmZSV5eAePGXU1eXgEDBgzCbq9m4cJ5PPfc01RVVZKfP5QHHniE8867oM0zOluy7VMr/vX3+eu/ETQl/qmpaWG3enr27IZen1Iv20eIf2QRgi4QtBFVVTl48EBo4k5x8Wq2bLGFMlBOOaUPI0deGpq6c9JJPUKVlzt2bOfZZ5/kgw/exe/3c+GFFzNt2o3k5RXE5bm0VPyP7eJZN/WzrKwEm21Tq8S/4VaQEP/mIARdIGghPp8Pm21zSMDXrVvDoUOHADCZzAwePIQZM2bW5H7nkZaWXu/xtRWdRUWz+PrrrzAYDIwbdw1Tp97ASSedHI+n1CoMBgNdunSlS5euTd436A242bJld70MHyH+kUUIukDQBBUV5axde3Tm5YYN60NZJ507d+HMM8+kX79B5OcPPW7lpd/vZ9myzygqmsWGDevIzMzkttt+xXXXTSIrKyuWTynmGAwGcnNzMBjSm7zvsSv/uuJf+ylg8+aNlJWVhhqIHUtzxD8nJ4e0tOQSfiHoAkEdFEVh166docyT4uLV7Nq1EwimC/brN4Crr55Afn4BQ4YUhCZOHS/n2+VysmTJ28ybV8j+/fvo3v1kHn3091x++TjRJTIMLVn5u93uY+b2lnBslW9T4p+Wll4j8o21eDja5kGnS+w3ACHoghMal8vZwLys7euSkZHBkCH5XHHFePLzhzJgwKAWCXBJyREWLZrPG28spKqqkry8Au677zecd96FYvhDhDAajXTt2o2uXbs1ed9w4u9yVbF374HQz5s2bWjX4i8EXXBCcejQwTpDG1Zhs20OmZe9evXmoosuIS8vn4KCofXMy5awc+cOiopm88EHS/D7/Zx//kVMn34j+flDI/10BC0gnPg39unK7XbXM3iPDnA/uvJPRPEXgi5IWnw+H1u2bK7JPAnugR8+HDQvjUZTyLys7Tx4rHnZElRVZdWqlRQVzeJ///uyxui8milTbuDkk3tE6BkJYoXRaGzRtk/4xm6tE/9Bgwbx9NNPtipuIeiCpOGoebm6xrxcFzIvO3XqTEHB0BrxLqBv334RaRsbCAR4//33+ec/X2L9+rVkZGRw6613MmHCJLKystt8fkHi01LxP7ad87F5/7UFZ61BCLqgXVLXvKz92rlzBxA0L63W/lx11XWh3O/mTE5qCS6Xk3ffXczcuXNqjM6TeOSRx7n88nGYTKaIXksQGTSaDWg0W1CUrvj9w4DYT2Fqzp6/LLc+LiHognaBy+Vi/fq1bNu2ke+++4G1a9eEBlGnp6eTl1fA2LFXkpdXwMCBg6MmqqWlJTVG5wIqKysZMiSPxx//HaeeerYwOhMUWT5EWtoEtNrNqKoWUFDVHCor3wSGxTu8iNIsQbdarY8D19X8uNRmsz0YvZAEAjh8+BBr1qwKbZ9s2bIZv98PQM+evbjwwpGh7ZMePXpGfeZlrdG5dOm7+Hw+zj//IqZNu5GCgqHtoFWtD1kuRVHSgRPt04NKevrlaDTbkSQ/tX8mquokI2MUsDuu0UWaJgXdarVeDFwCFAAq8LHVah1vs9neiXZwghMDn8/H1q22mrzvYPfBQ4cOAsGPqIMGDWH69JtqBjecTSCgi0lcqqqyevXPFBa+xv/+9yV6vZ4rrhjPlCnT6dGjV0xiaBt+zOanMZleRpJ8gIrHcyV2+/Ooama8g4sJOt03yPI+JMlf73ZJUlFVNzAfmBSX2KJBc1boB4H7bDabF8BqtW4CTopqVIKkprKygrVri0OFO+vXr8PtdgFB8zIvr4CpU2eQnx80L3W6owKelRX91XAgEOCLLz6jsHBWyOi85ZY7mDhxcrsyOlNTb0evfw9ZdoVuMxiWoNUWU17+HRCbN8Z4otWuRZK8YY/JshP4nhNK0G0224ba761Wax9gAjA8mkEJkgdVVdm9e2do66S4eDU7dmwHQKPRYLX2Z/z4a8jPD26fNGcEXLRwuVy8++5i5s2bw759e+ne/SQefvh3XHHF+HZodG7HYHgXSXLXu1WSvMjyPvT6D/B6x8cpttihKFmoqr7mE0p9VFWHJMXv7y0aSKqqNuuOVqt1ILAUeNxmsxU24yE9gJ2tD03QHnG5XBQXF7Ny5Up++uknfv75Z8rLy4Fg5eWpp57KsGHDOO2008jLy8NsNsc5YigpKWH27NkUFhZSXl5OQUEBt99+O6NGjWrHRufLwL2As5HjE4GFsQsnblQBnQn/OhiBYqBvTCNqAT2BXS15QHNN0bOBt4G7bTbbopZcoLTUjqI0700jFiSigdWeYzp8+HBo5b1mzSpstk31zMtzz72A/Pyh5OcP5eSTe9Tr7e1wBHA4Wva8I/la7d69k6Ki2bz//hJ8Ph/nnXdhqKJTkiTKyhoTw+jFFClyc3UoikS4VuqqCm633GhXw+jFFI/XSUKvf5m0tFsAH5LkR1VlwIDD8RAWS9+E+93JskR2tqVVj22OKdodWAJMsNlsX7TqKoKkwO/3s3WrrU7jqjUcPHgACJqXAwcOZtq0G0NtYzMyEs94U1WVNWtW1xidX6DT6bj88nFMnXpDOzE6m8sYJOmOsEdUNQWP57qwx5IRr/dKyssHYDL9G612HX5/T9zuW/H7T8XSOt1MWJqzQr+f4GeTv1it1trb/mOz2f4TtagECUFVVSVr1xaHVuDr1q3F5QquWjt06Eh+/lCmTLmBvLwCrNb65mWiEQgE+OqrZRQWvsbatcWkp6czc+bt7c7obD4dcTrvwWz+O5J09JOGopjw+8/A5zs/fqHFgUCgD3b7X+IdRtRpjil6F3BXDGIRxJH65uUaNmwoZsuWLUCtedmPK68cH9o+iad52RJcLhfvv7+EuXPnsHfvbrp1685DDz3GlVeOx2SK//59NHE6HyEQsGI2P4tGsxNFycbluhWX61dA28baCRITUSl6guJ2u9m4cX29sWkVFRVAcDjAsGGnMXLkZeTnFzBo0OB2J35lZWW8/nqworO8vJxBg4bw61//jQsvHNmOjc6W4/FcjcdzdbzDEMQIIegnCL/8Ute8XM3mzRtD5mWPHj0577wLQ5WXPXv2omPH9IQzi5rD7t07mTt3Du+/vwSPx8P5519YU9F5atSrSQWCeCMEPQnx+/1s27alXul8rXlpMBgYNGhwqHBnyJACMjMTz7xsKWvWrKKwcBZffbUMnU7H2LFXMnXqDHr2TCajUyA4PkLQk4CqqirWrSuuM7T4qHmZm9uB/PyhTJ48nfz8oVit1oQfo9Vcjhqds1i7dg3p6encfPNtTJw4mezsnHiH1wYUdLovMBoXIEl2vN7RuN3XASnxDkyQ4AhBb2eoqsqePbvrpQ5u374VAFmWQ+Zl7fZJ585dkm6rIbmNTj9padej0y1Hlh1AsB+J2fwsFRVfoChd4hyfIJERgp7guN1uNm3aUM+8rK28tFhSycvLZ9Soy8jLC5qXZnPyruLKysooKnqF2bNnU15ezsCBg3nuub9x0UXJY3QajXPQ67+pl2ooyw5U1U1q6u1UVr4bx+gEiY4Q9ATjyJFf6q2+N23aiN8f7ENx8sk9OOec80Or7169TqlXeZms7N69i3nz5vDee+/g8Xg499zzmT79JoYOPS0mnz40mi3I8i/4/VZUNTeq1zKZ/l1PzGuRpAA63bdIUimqmox584JIIAQ9jtSal0uXbmL58u8pLl7NgQP7gaB5OXDgYKZODRbuDBmST1ZWVpwjji1r1qyiqGg2X375OVqtlrFjx3HXXXeSkRHZ6UONodFsJi1tGhrNHlRViyR58HiuoLr6n0Srr7gslzR6TFX1yHIpgYAQdEF4hKDHkOrqatatOzrzct26YpzOWvMyl7y8oVx//VTy84fSr1+/pDEvW0IgEOB///uSwsLXKC5eTVpaOjfddCsTJ04mJyc3ov1AJKkcg+FtZHkfgYAVj2cctUItSWVkZFyCJFUiSWpoMIJe/z5paQ6qqlrU0qjZ+P390eu/ayTeAIFA46PLWotGsxmT6RU0mp34fENwu29CUUSH7PaIEPQooaoqe/fuqTfzctu2raiqiizL9O3bj8svH0deXgEXXXQuen1a0pmXLcHtdtcYnbPZs2c3Xbp05Te/eZQrr7wqKr6AXv8JaWnTUdVgX2xFScFieYiKig9QlE6YTP8C3EhS/cZysuxGr/8CWd6BokQ+JdLpfBCdblKDbRdVNeFyTQMia/oajf/FYnkU8NZs63yD2fwfqqqK8Hovjei1BNFHCHqE8Hg8NZWXq+uYl2XAUfPy4osvJT9/KIMHD6knUonYrS9WlJWV8cYbC3j99fmUl5czYMAgnn32r1x00Ui02uj8eUrSYdLSpiFJrtDKO5hR4iAz81yCZfEBJEkJ+3hV1aLT/YTHE3lB9/kuxG5/EovlkZr5lyqS5MfjGY3D8VREryXLu7BYHqnXM712GERa2nRKSrYBSda9KskRgt5Kas3L2q+NG4+al927n8yIEeeGJs736tX7hDAvW0LQ6CzkvfcW4/F4OOec85g+/SZOPXVY1D+pGI1zgfBiLUkBINDEGSRUNS3SYYVwu2/G47kWvf5zwI3PNxxF6Rnx6xiN82jsdVBVGYPhfTye6yN+XUH0EILeDAKBANu2ba2XOrh//z4A9Ho9AwcOZsqU6TXZJ/lJ2r0vMhQXr6aoaBZffFFrdF7JlCk3cMopvWMWg1a7GUnytOEMKl7vhRGLJ+wV1PSo92AJztoMP55NkjzI8pGoXl8QeYSghyFoXhaHUgfXrVsTMi9zcnLJzy9gwoRJNeblAPT6E8+8bAmKovDVV19QVDSLNWtWkZaWzo033sL1108hJye6aYDhCKYfGhuMZ2uK2sEI1dWvAIaoxBZL/P7TUNUlYdMkVdWA3z8AUNFotgEBAoE+QHLk+ycrJ7ygq6rKvn176+R+1zcve/fuy9ix40LbJ126dD2hzcuW4Ha7+eCDJRQVxcbobH5c00hJeaHZ91dViUCgO37/GTiddxMIDI5idLHD45lASsoTANT9k1ZVDaqagyT5yMrqjyxXoKoSYMJu/9MJNRyjvXHCCbrb7Q4Jd62BWVZWCoDFYmHIkKB5OWRIPoMH52FJtpEmMaC8vJw33ljAokXzKS8vi4nR2RJUtSNVVXPqZLm4UFUdwRFlDe8fCPSjvHxFzOOMNqqaSkXFUtLTr0GS7EAwo0dRuuJwPEJa2g1IkguoFXwHqan/h6oa8XqviFvcgsaJ//+uKFNaWhIS7zVrVrF580a83uC+YffuJzF8+IjQxPlevXonTQl5PNizZ3fI6HS73TE1OluK1zuK0tLNGAxvodHsJRDohtn8Z2S5NDQhvnZVWl399/gGG0UCgSGUlW1Cp/saWT5AINAbv/90MjJGhsS8LpLkwmL5LWVllwOJ9TsVJJmgBwIBtm/fVm/7ZN++vUDQvBwwYBA33XQTffsOEuZlBFm3rpjCwtdYtuwztFotY8ZcwdSpM2JqdLYGVc3E7Z4Z+tnjGY/Z/DxG45uAF5/vHByO3xIIDIpfkDFBg893Qb1btNpVjd5blvcjSdVRzfQRtI52Leh2u51164pDAr5uXTEOR7BDXXZ2Dvn5BVx33fXk5RXQv/9A9Hr9CZ3zHUkUReHrr7+isPA1Vq/+mdTUNGbMmMn1108hN7dDzOKQ5R3I8i8EAr1R1ba1zFXVXByO53A4notQdO0ZPeBv5JiKqopEgESk3Qi6qqrs37+vzt73KrZu3VLHvOzDZZddQX5+Afn5Q4V5GSU8Hg8ffPAuc+fOZteunXTu3IUHHniE8eOvjqnRKcvbSUu7Aa3Whqrqa/qsXF7TZ6W9t9CNBCo63VfodF8CJjyecQQC/Rrcp7FtE7d7PEbj60hSfVFXVQmv91yCc+MFiUbCCrrX62XTpg11infWUFISzItNSUlhyJB8LrxwJHl5BcK8jAEVFeW8+eYiFi6cR1lZKf37D+BPf3qBiy++NOZGpyRVkZl5MZJUjiQpofRDvf4D0tIqqap6O6bxJBqSVA1cRFraRiTJAWgxm/+C2z0Fu/0FdLplpKQ8jla7HjDgdl+Fw/EEqtoxdA6n83EMhs+AilCuuqrqUFUzDsfz8XhagmaQMIJe17wMVl6ux+errbw8iTPPHM6QIfnk5w/llFOEeRkr9u3by9y5s3n33aDROWLEeUyfPoPTTjsjbp+ADIYFNWX79ascg31WvkGj2UIg0DcusSUCFsu9wFpkubZ4yg/4MRoXoKoSJtO8OoanG6PxDfT6Lygv/z7UmldROlFW9j0m098xGt8CFLzesTid96AokW8QJogMcRH0QCDAjh3b6vU92bt3DwA6nY4BAwbVdB0Mto2NR/HJic7q1av529/+wRdffIYsaxgz5nKmTp1B79594h0aev0XYYthIFj8o9X+eMIKuiRVYzAsARpWwkqSE5Pp1QapmZLkR5bLMZlexul8JHS7qubidP4Rp/OPUY5aECliIuh1zcvatrF2ux2ArKxs8vOHcs01E0LmpcHQ/qvw2iOKovDNN19RWDiLVatWYrGkcsMNNzFx4hQ6dOjY9AlihKJkoKpSg06IQTSo6om7/SbLh1FVXaOtDRr7UCVJHgyGN+sJuqD9EXVBv/POW/j2229QFAVJkujTpy+jRo0hP38oeXkFdOvWXZiXccbj8bB06XvMnTubnTt30LlzF37/+98zcuRYUlISTxw9nqkYDO81OtnH6x0Zh6gSg0CgUwMjs7k01l1S0H5olqBbrdY04DtgrM1m29WSC2RkZDBz5u0h8zI1NbUVYQqiwbFGZ79+A3jmmT8zcuQoOnfOTNj0Tp9vBF7vFfVEPVgEZKS6+h9A8s5VbRoLbvd4TKbFhNt2aQxV1eN2j4tCPCo63ddotWuBrkjSSFRVaEC0aFLQrVbrGcCrQKs2JZ966jkUJdxHY0G82LdvL/PmzWHJksW43S7OPvtcpk+/kWHD4md0tgyJ6uqX8XpHYTL9G1k+hN8/BKfzXvz+U+MdXNyx21/AZNqFoqytecNTG91qgaDvoKqpuFx3RjQOWT5EevpYZPlAzRaQgexshaqqV0TrgCjRnBX6TOBOYG6UYxFEmXXr1lJUNItlyz5FljVcdtlYpk2bQe/e7dFAlPB4rsLjuSpuEeh0yzCbnwM2k5mZjct1O273DCK9kylJpaSkPIXB8DqS5MLvH4TD8Tg+30WNPMICfEtV1SfodF+h1y9Fq90Q1nNQVfB6R2O3P4eqRrYgLC3tOjSa7TU95qG2V05a2kzKywcQCCR2JXF7pMm/PJvNdjOA1WqNfjSCiFNrdBYVzeLnn4NG57RpN3L99VPp2DFxjM72htH4ChbLY6H0P622HIvlMfT6T6mqep3g1KO2E8y5Px9ZPhjKB9fp1pCePonq6n8cp/OhhM93Nj7f2Xg8E8jIOBewH9NV0UhV1Wt4vZdHJNa6aDTr0Gq31BHzuvgxGl8W+exRQFLV5m2HWK3WXcD5LdhD7wHsbE1QgrbjdrtZvHgxL7/8Mtu2baNLly7MnDmTSZMmiSKsNlMJdAYaNq8K7t+/DURqHudzwO8buVYmcBjQNeM864H/A5bX/NwHeAEY3fYQw/I6wQ/3jfkwI4BvonTtpKEnsKslD4h6lktpqT2h9tATsZdLJGOqrKwIGZ2lpSUho/Piiy9Fp9Phcqm4XE1fKxFfJ0iMuAyGxVgsGsJNFVRVBx7Pf6muHh6Ra2VmFqHVhhNzUBQ/lZVf4/ef3uBYw9fpZOA9wIkk+es01orOa6nVZpOerjTyGsm43Sdht8f/7ysR/p6ORZYlsrNbt+hKmEpRQdvYv38f8+bN4Z133q4xOs9h+vSb2pHR2Z7wUNs7/FgkiZpy+0jR1HzTpo4fi5lmfihvE37/6ahqDqrqDLN3b8DtvrUNZ3ej0WxHVdNQlO5tCTPpEILeztmwYR1FRbP57LOPkWUNo0ePYfr0G9up0dk+8PnObjTXW1FS8Hovi9i1PJ4r0Wh2NlIopOL3F0TsWpFForLyTTIyRqGqHmTZAehQVQ0Ox6OtjFvBbH4Gk+mfgIwk+fD7+1Jd/QqBwIAIx98+abag22y2HlGMQ9ACFEVh+fKvKSx8jZ9//gmLxSKMzhiiKD3weMZiMHxYbwiEqmpR1XTc7msjdi2X61ZMptcAfz2DMdgk6zESuethINCP0tL1GI1votWuwGQ6mfLya1ud3ZKS8nuMxleQ5aMFZVrtOjIyLqG8/EcUpUukQm+3iBV6O8Lr9fLhh+9TVDSLHTu206lTZ+677zeMH3+tMDpjTHX1KyjKbzGZ5iBJWlTVi9d7Nnb7v4lk+15VzaG8/H9YLPej138OgKLk4nD8Do9nUsSuEz0sNamcMzCZUgkEWrdfLUlVmEwvN5iiFNzOcWM0/lv0nEEIerugqqqSN95YyKJF8ykpOYLV2p+nnnqeSy4ZhU7XnAwHQeTR4XA8i8PxOLm5FZSWGkKdCsOh0WzGYFiCLO8AjPj9g/B4rqzXsrYxFKV7TSqkG0lyo6rpnGjj37TaNTU9asKNxfNiMHwiBB0h6AlN0OgsZMmSt3G5nAwfPoInn3yWM844SxidCYMZ6IiqNrbyVLFY7sVonA+469wuYbE8gsPxGC7XXc28lhFVjeQWix+9/gOMxkWAH7fbblIAABE/SURBVI9nfE2hlimC14gMqmoCGu81o6oncruHowhBT0DqG50yo0aNYdq0G+nbVxR3tTcMhkUYjQtDQziOogJeUlKewe8fjM93YYwjc5GRMQaNZlONYQk63beYzc9TUbHsuJ824oHfP5TgG429wTFFMdds6wiEoCcItUZnUdEsVq78EYvFwtSpM5g0aSodO3aKd3iCVmI2/63R3u0Q7FFuNv+FysrYCrrZ/Ge02vX13mhk2YEk7cVieZDq6tdiGk/TaKiq+g/p6VMIbj0FUyFV1UQg0B+3e0J8w0sQhKDHGa/Xy6JFi/jXv/7Njh3b6NixE/fe+yDjx18rOlO2K1xIkhNVzaRu2b8s72vykRrNlijGFR6TaVaYTw0gST4Mhveorg4200okfL6RVFR8itn8LDrdChQlDbf7RlyumSRarPFCCHqcqKqqDFV0lpQcoW9fK0899RyXXDJaGJ3tCFk+APyGnJwPAQlFycDpfBi3+8aan7sjyxuPe454FMdIUmUTx+2oauKJpN+fR1XVgniHkbAIQY8x+/fvY/78It555y1cLidnnXU2//jH3+nXL18Yne0MSSonI+M8oCSUI67R/EJKyqNIUjku1/04nfeQmnpXo9suimLG6fx1DKMOEgicglZrC3tMVc2oakaMIxJEAiHoMWLTpg0UFr7GZ599giRJjBo1hqlTZ2C19kvIfhKCpjEaZ9esdOuX38uyk5SU53G5bsPjuQ6t9mdMptnUDpyQJGrK74243VPi0hvc6XyY1NQ7GrzRBN9g7gGODmGX5UOYzc/UzCr14fOdh8PxWwKBgbENWtAkQtCjiKqqfPvtNxQWvsZPP63AYrEwZcoNwuhMEoJ55Q33oQFUVYdO9yM+34U4HM/hdt+CXv8OWu1aJMlLINAHt3sigcCgGEcdxOO5ClneTUrKM6iqjuAQDB9u91RcrqOfGGT5EJmZZyNJ5aF2B3r9h+h0X1JZ+QF+/2lxiV8QHiHoUaC2onPu3Dls376VDh06cs89D3DVVdcJozOp0BznmErd/16BQG9crgeiHlFLcLnuwe2+Ab3+S8CP13teg0Ins/nZemIOwepMSXJisdxNRcVyBImDEPQIUlVVyVtvvc7ChXM5cqSu0TkKnU4f7/AEEcbtvh6tdmPY6kUAn++MGEfUclQ187hTnwyGxY02ItNqNyNJJahqTrTCE7QQIegR4MCB/cyfX8TixW/icjk588zhPPHEM5x11tnC6Exi3O7JmEwvo9Xuoe5AZlU1Ybc/S3Kk0vmOc0xGkrwxaccraB5C0NtA0OicxWeffYwkSVx66WVMnTqDfv36xzs0QUxIoaLiC3Jy/oKizEKSnPj9A3A6H8PrvSTewUUEn+989PqlYeeRKkoOitI5DlEJGkMIegupNTqLimbx448/kJKSwuTJ05g0aRqdOok/7hONYKOsv1Ba+kS8Q4kKDsdv0em+bDC0I/gp5GlOtCZhiY4Q9Gbi83n58MMPmDt3Ntu2BY3Ou+9+gKuvFkanIHkJBAZQWfk+FsvdaLWbCRZL5WK3P43XOy7e4QmOQQh6E1RVVfH226+zYMFcjhz5hT59+vKHPzzD6NFjhNEpOCHw+0+jomI5klSKJHlRlE6IlXliIgS9EQ4ePMD8+YUsXvwmTqeTM84YzhNPPPX/7d19dFR3ncfx9508zYQQcGl6xIrWPvi1T2u1UFpL2/WUh13WPR4PUCpIoN22cuTQdhXdVSgPat1dj7YeLbTKNl1Sybptqa5aQE63dcEF2tUjeizmC2rtKgUqDy3MQ5JJ5vrHvSnT6WRmEubOnQ7f1zn5Y+be5PfJN8k3997ffeDqq6fYRKc5I7nuOJsArXLW0HN0d+9lw4YOtm3bAsCMGTNpb7/FJjqNMVXPGjreROeuXT9hw4YOnn12F83Nzcybt4B589oZP96eU2hM2BznJNHoBpqaHgOgt3cOPT0LcV2bv8p2Rjf0dLqPrVs309nZwf79+2hrO5s771zGrFk30traGnY8YwzgOEd4y1uuJxI58tpFXPX13cRiD3L8+I/twqYsZ2RDP3nyJJs2PUpXVycvv3yYCy640CY6jalSo0bdTSRyCMc5dZGT46SIRA4yatRK4vF1FcviOH+iqen7OE6cdPoq+vuvpJomiM+ohn7o0EHWrbuXjRs3kkgkmDz5alat+iIf+IBNdBpTnVyi0cdf18wHOU6aaPQx4vG1VKKpRqMP0NKyEtetw3HSuG6Df1rnd/3rEcJ3RjT07u69dHY+zLZtW3Bdl+nT/4b29pu56CK7/acx1a0f6CuwvM9fJ9iHwjQ07KClZTWO08vgtp/jpHGcXzJ69GJOnPiPQMcvVc029FMTnQ/z7LM7aW5u5qab5rN06SdoaqqO/6bGmGIaGBg4l/r6F/IuHRh4F0E3c4BY7F7gjTdhc5w+GhufwnFexnXPDjxHMSU1dBGZB6wAGoH7VHVtoKlOwxsnOtu4445PMnv2TbS2ttrDJIw5LX00Nf0XjY0/BBrp7Z1DX99Usp+jWm7J5N2MHr3kDXe1dN0YyeTdgY2brb5+H0MdlXXdJurqfk9//5ugoYvIOcA9wBV4t5TbKSLPqGrhByVWWO5E5/nnX8iaNV9i5swP2USnMWXgOMcYO3YakchLRCLevV0aG72HXLz66ia87b3y6+2djeMcYdSoNZy6B/0AicQqentnBTJmroGBCdTV/SHvMsfpJZOpjtObS9lCnwo8rarHAETkcWA28Pkgg5Xq0KGDdHV1smnToyQSCa688ipWrvwC11xzrU10GlNGLS3LqKt7Ecc5dUw7EknQ0PAcsdj9pFKfDGzsnp7F9PQspKFhNwDp9FVALLDxcqVSS2lo2POGR/a5bj3p9EQymbdXLEshpTT0twEHs14fBK4MJk7pVLvp7OzgRz/ajOu6TJs2g/b2W7j44nAe6WVMbUvR1PSD1zXzQY6TIhb7ZqAN3RMjnf5gwGPk19c3k1Rqkf9s2D4cZ4BMpgXX/QtOnuwIJVM+pTT0fJu5mVIHGDeupfQ0Rbiuy44dO3jggQfYvn07zc3NLFq0iFtvvZUJEyaU/HXa2qrv6jLLVLpqzOVlOgB8DdgCjAJuAxYQ1oMuylunOIWOk9fVHS9pvOr92ZViLbAYeAR4hUjkBuAjjBtXPYd0S2noB4Brs16PB14qdYCjR+NkMqd3R590Os22bVvYsKGDffu6syY659La6p2xUupEZzVOilqm0lVjrra20Rw7tpuxY6f7p7V5W7GZzK8YGHiQV17ZAkQrnqm8dWpi3Lh6IkP09P7+czl+vPB41fqzG16mc4Hsidhesp9WVQ6RiDPiDeFSGvpTwGoRaQMSwCzg9hGNNkzxePy1W9cePnyI8867gNWr72HmzL+jsbF6/isaM3r07TjOydedCRGJJHGcvcRiD5FKLQkvXFk0kEotJha7n0gk92yTZpLJfwopl8lWtKGr6gERWQ48gzeN/W+q+lyQoQ4fPuQ/o/NR4vE4kyZNZsWKNUyZcp1NdJoq9CL19fvzntbmOCmi0Vpo6JBMfo5I5I9Eo0/gunWAg+P0k0jcVfBB06ZySjoPXVW7gK6As6DazSOPPMzWrU++NtG5YMHNXHLJZUEPbcxpeBXXbcBxevIudZwTFc4TlDri8W+STH6WxsYf47oN9PXNsJtjVZHQrxR1XZfdu3fS2dnBrl3/SyzWzI03zmP+/HbOOac6TgUyprALgYG8S1zXob9/cmXjBCyTOZeenkVhxzB5hNbQcyc6zzqrjaVL/4HZs+cyZszYsGIZMwIxUqklxGJriUSSOcuiJJOfCSWVOfNUvKHH43GeeOJRNm7s9Cc6z7eJTvOml0wux3F6icW+hes24p3ZG+PEiQfp739v2PHMGaJiDf3w4UN0dT3Cpk3/STwe54orJrF8+WqmTLmOyFDnQhnzphEhkfgiyeSnqa/fg+s209//fk5dqm5M8AJv6C+88DvWr3+QrVufJJPJMG3aX7Ngwc1ceqlNdJra47pjSKevDzuGOUMF3tCXLLmNI0eOMmfOR/nYxxbaRKcxxgQk8Ia+cOEtTJ8+0yY6jTEmYIE39Llz55/2pf/GGGOKs9lIY4ypEdbQjTGmRlhDN8aYGmEN3RhjaoQ1dGOMqRHW0I0xpkZYQzfGmBoR5HnodeA9TqnaWKbSVGMmqM5clqk0lqm4rDzDvhGQ47qBXfQzBdgR1Bc3xpgady3wk+F8QpANvQmYBBxkqLv/G2OMyVUHjAf+j2E+gTrIhm6MMaaCbFLUGGNqhDV0Y4ypEdbQjTGmRlhDN8aYGmEN3RhjaoQ1dGOMqRHW0I0xpkYEcum/iHweyKjq6jzLGoGHgIlACpinqt1B5PDHewfwbeBsQIH5qhrPs87zwG/9tw6r6owAsswDVgCNwH2qujZn+eXAemAMsB1YrKr95c4xzEwrgb8Hjvtvrc9dJ6BcrcBO4EOq+vucZRWvUwmZwqrTKuBG/+WTqvqZnOVh/E4Vy1TxWvk9aQ6QAR5S1XtzlodRp2KZhl2nsm6hi8gYEXkIWFZgtTuAhKpeBNwFbChnhjzWAetU9T3AT4G786wzCehS1cv9jyCa+TnAPXi3RHgvcLuIXJyz2reBpar6bsABbit3jhFkmgTclFWbSjSpyXiXPL97iFUqWqcSM4VRp6nAdOB9wOXAFSLykZzVKv07VUqmitZKRK4HbgAuw9uQXCoikrNapetUSqZh16nch1w+DOwHvlpgnb8FNgKo6nbgLH8LuexEpAG4Dnjcf+vf8f4j5poEXCoiPxWRp0XksgDiTAWeVtVjqprwM83OyvpOIKaqu4tkrVgm30TgH0XklyJyv4hEA84E3h/TEuCl3AUh1algJl8YdToIfEpV+1Q1DfwaeO1vKaRaFczkq2itVPV/gL/yt7jPxjsykRhcHkadimXyDbtOZW3oqtqpqv9C4Xu3vA3vhz7oIPD2cubIchZwImvXaaixeoBOVZ0IfAX4nn9oqJyKfd+VrEtJY4pIC/BzvD2u9wNjyb+HU1aqequqDnVjtzDqVDBTiHV6frAJiciFwFxgc9YqFa9VsUwh1iotImuAvcB/AweyFof1OzVkppHWaUTH0EVkDnBfztvdqjq1hE/Pd6/KzEhylJBpXyljZR/rV9XNIvLPwEXAL043V5Zi33cgdSmi4Jj+XMPMwdci8lWgA1gecK5CwqhTQWHXSUQuAZ4Elqnq/qxFodVqqExh1kpVV4nIvwI/wNvj+pa/KLQ6DZVppHUaUUNX1ceAx0byuXj/hd4K/MZ/PZ6hd2NPK5N/yOWoiNSp6sBQY4nIUrxj6Ef9txwgfbqZchzAux3moNwsg3UZankQCmbyD4VNVdUO/60g6jJcYdSpoDDrJCLXAJuAu1T1OzmLQ6lVoUxh1EpE3gNEVXWPqiZF5AngL7NWqXidimUaaZ3COG1xM9AOICJTgB5V/f8gBvKP4e3A2+3DH3dLnlWvx5tNHpysqAPKfebNU8ANItImIs3ALGBrVtYXgR7/j6FQ1oplwjsL6csi8i4RcfCOIX834EwFhVSnYkKpk4hMAL6Hd6ZYbjMPpVbFMhFOrc4D1otIk38o9cNk3Wc8pN+pgpkYYZ0q0tBFZLF/ig7AN4AmEXke+DqwIODhP4F39sZevK3RFXky3QlME5Ff4R1D/6iqlnWXS1UP4O0uPQPswdsjeE5ENovIRH+1+cB9IvJrYBRefQJTLJOq/gn4ON7uoOJtJRSa8A5MmHUqlinEOi0DosC9IrLH/1gccq0KZgqjVqq6GW9D8ufAz4CdqvqdkP/2CmYaaZ3sfujGGFMj7EpRY4ypEdbQjTGmRlhDN8aYGmEN3RhjaoQ1dGOMqRHW0I0xpkZYQzfGmBphDd0YY2rEnwGUFcxATXjWpwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d4353c8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
    "    plt.plot(xfit, m * xfit + b, '-k')\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SVM: 假想每一条分割线是有宽度的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d516860>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
    "    yfit = m * xfit + b\n",
    "    plt.plot(xfit, yfit, '-k')\n",
    "    plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none',\n",
    "                     color='#AAAAAA', alpha=0.4)\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在SVM的框架下, 认为最宽的线为最优的分割线"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 训练SVM\n",
    "\n",
    "使用线性SVM和比较大的 ``C`` "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=10000000000.0, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n",
       "  kernel='linear', max_iter=-1, probability=False, random_state=None,\n",
       "  shrinking=True, tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVC # \"Support vector classifier\"\n",
    "model = SVC(kernel='linear', C=1E10)\n",
    "model.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 创建一个显示SVM分割线的函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_svc_decision_function(model, ax=None, plot_support=True):\n",
    "    \"\"\"Plot the decision function for a 2D SVC\"\"\"\n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "    \n",
    "    # create grid to evaluate model\n",
    "    x = np.linspace(xlim[0], xlim[1], 30)\n",
    "    y = np.linspace(ylim[0], ylim[1], 30)\n",
    "    Y, X = np.meshgrid(y, x)\n",
    "    xy = np.vstack([X.ravel(), Y.ravel()]).T\n",
    "    P = model.decision_function(xy).reshape(X.shape)\n",
    "    \n",
    "    # plot decision boundary and margins\n",
    "    ax.contour(X, Y, P, colors='k',\n",
    "               levels=[-1, 0, 1], alpha=0.5,\n",
    "               linestyles=['--', '-', '--'])\n",
    "    \n",
    "    # plot support vectors\n",
    "    if plot_support:\n",
    "        ax.scatter(model.support_vectors_[:, 0],\n",
    "                   model.support_vectors_[:, 1],\n",
    "                   s=300, linewidth=1, facecolors='none');\n",
    "    ax.set_xlim(xlim)\n",
    "    ax.set_ylim(ylim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d3aac18>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(model);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.44359863, 3.11530945],\n",
       "       [2.33812285, 3.43116792],\n",
       "       [2.06156753, 1.96918596]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.support_vectors_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 非支持向量的数据, 对分割线没有影响\n",
    "\n",
    "只有支持向量会影响分割线, 如果我们添加一些非支持向量的数据, 对分割线没有影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d47c748>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_svm(N=10, ax=None):\n",
    "    X, y = make_blobs(n_samples=200, centers=2,\n",
    "                      random_state=0, cluster_std=0.60)\n",
    "    X = X[:N]\n",
    "    y = y[:N]\n",
    "    model = SVC(kernel='linear', C=1E10)\n",
    "    model.fit(X, y)\n",
    "    \n",
    "    ax = ax or plt.gca()\n",
    "    ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    ax.set_xlim(-1, 4)\n",
    "    ax.set_ylim(-1, 6)\n",
    "    plot_svc_decision_function(model, ax)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "for axi, N in zip(ax, [60, 120]):\n",
    "    plot_svm(N, axi)\n",
    "    axi.set_title('N = {0}'.format(N))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 二. 使用SVM进行人脸识别\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n",
      " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n",
      "(1348, 62, 47)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=60)\n",
    "print(faces.target_names)\n",
    "print(faces.images.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "人脸实例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d6da668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 5)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(faces.images[i], cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[],\n",
    "            xlabel=faces.target_names[faces.target[i]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "每一幅图的尺寸为 [62×47] , 大约 3000 个像素值\n",
    "\n",
    "我们可以将整个图像展平为一个长度为3000左右的一维向量, 然后使用这个向量做为特征. 通常更有效的方法是通过预处理提取图像最重要的特征. 一个重要的特征提取方法是PCA(主成分分析), 可以将一副图像转换为一个长度为更短的(150)向量.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.svm import SVC\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.pipeline import make_pipeline\n",
    "pca = PCA(n_components=150, whiten=True, random_state=42)\n",
    "svc = SVC(kernel='linear', class_weight='balanced')\n",
    "model = make_pipeline(pca, svc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 将数据分为训练和测试数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "Xtrain, Xtest, ytrain, ytest = train_test_split(faces.data, faces.target,\n",
    "                                                random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 调参:通过交叉验证寻找最佳的 ``C`` (控制间隔的大小) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yuanyuan/anaconda3/lib/python3.6/site-packages/sklearn/model_selection/_split.py:2053: FutureWarning: You should specify a value for 'cv' instead of relying on the default value. The default value will change from 3 to 5 in version 0.22.\n",
      "  warnings.warn(CV_WARNING, FutureWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 7.56 s, sys: 157 ms, total: 7.72 s\n",
      "Wall time: 3.98 s\n",
      "{'svc__C': 1}\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import GridSearchCV\n",
    "\n",
    "param_grid = {'svc__C': [1, 5, 10, 50]}\n",
    "grid = GridSearchCV(model, param_grid)\n",
    "\n",
    "%time grid.fit(Xtrain, ytrain)\n",
    "print(grid.best_params_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = grid.best_estimator_\n",
    "yfit = model.predict(Xtest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用训练好的SVM做预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a217337b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 6)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(Xtest[i].reshape(62, 47), cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[])\n",
    "    axi.set_ylabel(faces.target_names[yfit[i]].split()[-1],\n",
    "                   color='black' if yfit[i] == ytest[i] else 'red')\n",
    "fig.suptitle('Predicted Names; Incorrect Labels in Red', size=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 生成性能报告"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                   precision    recall  f1-score   support\n",
      "\n",
      "     Ariel Sharon       0.62      0.67      0.65        15\n",
      "     Colin Powell       0.74      0.84      0.79        68\n",
      "  Donald Rumsfeld       0.74      0.81      0.77        31\n",
      "    George W Bush       0.85      0.79      0.82       126\n",
      "Gerhard Schroeder       0.75      0.78      0.77        23\n",
      "      Hugo Chavez       0.93      0.70      0.80        20\n",
      "Junichiro Koizumi       0.92      0.92      0.92        12\n",
      "       Tony Blair       0.81      0.83      0.82        42\n",
      "\n",
      "        micro avg       0.80      0.80      0.80       337\n",
      "        macro avg       0.80      0.79      0.79       337\n",
      "     weighted avg       0.80      0.80      0.80       337\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import classification_report\n",
    "print(classification_report(ytest, yfit,\n",
    "                            target_names=faces.target_names))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 混淆矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a2172dcf8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "mat = confusion_matrix(ytest, yfit)\n",
    "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False,\n",
    "            xticklabels=faces.target_names,\n",
    "            yticklabels=faces.target_names)\n",
    "plt.xlabel('true label')\n",
    "plt.ylabel('predicted label');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SVM总结                                                                                                                                                                                                                                                    \n",
    "### 优点                                                                                                                                                   \n",
    "- 模型只需要保存支持向量, 模型占用内存少, 预测快.\n",
    "- 分类只取决于支持向量, 适合数据的维度高的情况, 例如DNA数据\n",
    "\n",
    "### 缺点\n",
    "- 训练的时间复杂度为 $\\mathcal{O}[N^3]$ 或者至少 $\\mathcal{O}[N^2]$, 当数据量巨大时候不合适使用.\n",
    "- 需要做调参 $C$ 当数据量大时非常耗时间.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
